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Finding the Fourth Proportional to 11,006.30, 16,497.02 and 5,463.60

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Solution

The fourth proportional to 11,006.30, 16,497.02 and 5,463.60 is: 8,189.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006.30 : 16,497.02 = 5,463.60 : x
  2. Step 2: Convert to fraction form
    11,006.30/16,497.02 = 5,463.60/x
  3. Step 3: Cross multiply
    11,006.30x = 16,497.02 × 5,463.60
  4. Step 4: Simplify right side
    11,006.30x = 90,133,091.15
  5. Step 5: Solve for x
    x = 90,133,091.15/11,006.30
  6. Step 6: Final answer
    x = 8,189.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.